Exponent Rules: Review & Practice

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: Superscript in Math: Definition & Example

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
Your next lesson will play in 10 seconds
  • 0:00 What Are Powers in Math?
  • 0:47 Power Laws
  • 3:41 Formulas
  • 4:41 Lesson Summary
Save Save Save

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Speed Speed Audio mode

Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Vanessa Botts
When working with exponents, it's important to understand power laws, which are also called laws of exponents. In this lesson, you'll learn about these laws, their formulas and when to use them.

What Are Powers in Math?

Powers, also called exponents, correspond to the number of times a base is used as a factor. For example, if you have a number n raised to the power of 3 (n^3), it means that the n is multiplied by itself three times. So, the exponent (3) says how many times to use the number (n) in a multiplication.

Of course, dealing with exponents isn't always as easy as multiplying a number three times. Sometimes there are combinations of exponents that need to be calculated, such as:


How do you solve this equation? Well, there are several rules governing different combinations of powers. These laws are called power laws, or rules of exponents, and knowing them can simplify many computations involving exponents.

Power Laws

There are actually quite a few exponent rules, but eight of them are more commonly used and those are the ones we'll explore in this lesson.

First up is the zero exponent rule. This rule is so simple, it's almost hard to believe. It does not matter how small or large the number is, if it is raised to the 0 power, the answer will always be 1. For example:


Next is the exponent of 1 rule. This one's just as simple: Any number raised to the power of 1 will always remain the same.


Now, to move on to something a bit more complicated: product rules. These are rules for multiplying terms with the same base and different exponents. For example:


To unlock this lesson you must be a Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use

Become a member and start learning now.
Become a Member  Back
What teachers are saying about
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create an account